105323451440 has 40 divisors (see below), whose sum is σ = 245257979568. Its totient is φ = 42063840000.

The previous prime is 105323451439. The next prime is 105323451487. The reversal of 105323451440 is 44154323501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105323451440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105323451397 and 105323451406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972311 + ... + 1075190.

Almost surely, 2^105323451440 is an apocalyptic number.

105323451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105323451440 is an abundant number, since it is smaller than the sum of its proper divisors (139934528128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105323451440 is a wasteful number, since it uses less digits than its factorization.

105323451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048157 (or 2048151 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 105323451440 its reverse (44154323501), we get a palindrome (149477774941).

The spelling of 105323451440 in words is "one hundred five billion, three hundred twenty-three million, four hundred fifty-one thousand, four hundred forty".